On a basic level why aren't loops ##\equiv## strings?

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Discussion Overview

The discussion centers around the conceptual relationship between loops and strings in theoretical physics, particularly in the context of loop quantum gravity and string theory. Participants explore whether loops can be viewed as equivalent to strings and the implications of their differences in terms of dimensionality and mathematical descriptions.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that a loop can be considered a 1-dimensional closed string, suggesting a fundamental similarity between the two concepts.
  • Others argue that loop quantum gravity deals with discrete units of space-time, while string theory involves continuous space-time with strings as fundamental particles.
  • A participant questions the characterization of particles as strings, suggesting that there may be strings that do not correspond to particles, and mentions string field theory as a related but unfamiliar concept.
  • One participant asserts that loops and strings are fundamentally different, emphasizing that they are described by distinct equations and should not be conflated.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between loops and strings, with no consensus reached on whether they can be considered equivalent or fundamentally different.

Contextual Notes

Participants reference different mathematical frameworks and physical theories, highlighting the complexity and nuances in defining loops and strings. There is an acknowledgment of background dependency and independence issues, but these remain unresolved.

billtodd
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As far as I can tell (if we look at pictures, without equations), a loop can be considered as a 1-dimensional closed string; and an open 1-dim string can be considered as a loop that we cut one point on its boundary?

So basically the fundamental building block is the same whether you call it loop or string?


I prefer points though... :oldbiggrin:

Obviously there's also the background dependency and independency that conflicts between both of them; But if one were to unite between the two theories, I guess one should find a someway to complement between them.
How to do it exactly is yet beyond me as well, if it's even possible.
 
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Loop quantum gravity is about discrete units of space-time.

In string theory, strings are particles that existing within a 10-11 dimensional space-time that is continuous, rather than discrete, and often represented by branes or manifolds.
 
ohwilleke said:
Loop quantum gravity is about discrete units of space-time.

In string theory, strings are particles that existing within a 10-11 dimensional space-time that is continuous, rather than discrete, and often represented by branes or manifolds.
Isn't it the other way around? I.e. particles are strings. I assume there are strings that are not necessarily particles. There's also this theory called string field theory, which I know nothing about it.
 
billtodd said:
a loop can be considered as a 1-dimensional closed string
No it cannot, they are described by totally different equations.
That's like saying that electron can be considered as a photon, because both are zero-dimensional.
 
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The OP question is sufficiently answered (particularly in view of the kind of reference given). Thread closed.
 
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